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Likelihood ratio ordering of parallel systems with heterogeneous scaled components. (English) Zbl 1423.60040
Summary: This paper considers stochastic comparison of parallel systems in terms of likelihood ratio order under scale models. We introduce a new order, the so-called \(q\)-larger order, and show that under certain conditions, the \(q\)-larger order between the scale vectors can imply the likelihood ratio order of parallel systems. Applications are given to the generalized gamma scale family.
MSC:
60E15 Inequalities; stochastic orderings
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